Gradient estimates for the heat equation under the Ricci flow
By Mihai Băileşteanu, Xiaodong Cao, Artem Pulemotov. 2009
139 citations recorded by the source corpus.
The paper considers a manifold M evolving under the Ricci flow and establishes a series of gradient estimates for positive solutions of the heat equation on M.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/68bf610c6dc57efe745c8843325644ad8ee008ff
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Xiaodong Cao
- Qi S. Zhang
- Ben Andrews
- Bruce Kleiner
- S. Brendle
- Robert Haslhofer
- Bing Wang
- James A. McCoy
In Geometry and Topology
- Qi S. Zhang
- Xiaodong Cao
- Ben Andrews
- S. Brendle
- Robert Haslhofer
- Bruce Kleiner
- James A. McCoy
- Chi Li
Citations in the corpus
- Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations (2014, background): “Various other authors have observed that the interaction of the heat equation and Ricci flow leads to good gradient estimates, see [24, 65, 78, 79].”
- The conjugate heat equation and Ancient solutions of the Ricci flow (2010, background): “The system of the heat equation with the Ricci flow was studied by many authors, various estimates and applications can be found in [11, 23, 29, 1, 4, 20, 2].”